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Solids
Mathematics · Kerala SSLC (Class 10) · English Medium · 40 questions and answers
Sample questions
- Q: When a sector is rolled into a cone, what do its radius and arc become?
- A: The sector's radius becomes the cone's slant height; its arc length becomes the circumference of the base.
- Q: Common mistake: using the lateral edge of a square pyramid as its slant height. What is the difference?
- A: The slant height is the height of a triangular face (apex to the midpoint of a base edge). The lateral edge goes from the apex to a corner, and it is longer.
- Q: What is the volume of a cylinder?
- A: V = \pi r^2 h, where r is the base radius and h is the height.
- Q: What is the curved (lateral) surface area of a cylinder?
- A: \text{CSA} = 2\pi r h.
- Q: What is the total surface area of a cylinder?
- A: \text{TSA} = 2\pi r h + 2\pi r^2 = 2\pi r(h + r).
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